an animal park has lion tigers and zebras . find the percentage of lion if 2/5 of these animal are lion ?
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ᴛʜᴇʀᴇ ᴀʀᴇ ᴛᴏᴛᴀʟ 20 ᴢᴇʙʀᴀꜱ.
ᴇᴀᴄʜ ᴢᴇʙʀᴀ ɪꜱ ᴇɪᴛʜᴇʀ ꜱᴇᴇɴ ᴏʀ ɴᴏᴛ ꜱᴇᴇɴ ʙy ᴛʜᴇ ᴛᴏᴜʀɪꜱᴛ, ᴛʜᴀᴛ ɪꜱ 2 ᴡᴀyꜱ ᴏꜰ ᴅᴏɪɴɢ ᴛʜᴇ ᴛᴀꜱᴋ.
ꜱᴏ, ꜰᴏʀ 20 ᴢᴇʙʀᴀꜱ ᴛʜᴇ ᴛᴏᴜʀɪꜱᴛ ᴄᴀɴ ᴇɪᴛʜᴇʀ ꜱᴇᴇ ᴏʀ ɴᴏᴛ ꜱᴇᴇ ᴀʟʟ ɪɴ 220 ᴡᴀyꜱ. (2×2×2×2........20ᴛɪᴍᴇꜱ).
ꜱɪᴍɪʟᴀʀʟy, ɴᴜᴍʙᴇʀ ᴏꜰ ᴡᴀyꜱ ᴏꜰ ᴡᴀᴛᴄʜɪɴɢ ᴛʜᴇ 12ᴊɪʀᴀꜰꜰᴇꜱ ɪꜱ ᴇqᴜᴀʟ ᴛᴏ 212.
ɴᴜᴍʙᴇʀ ᴏꜰ ᴡᴀyꜱ ᴏꜰ ᴡᴀᴛᴄʜɪɴɢ 11 ʟɪᴏɴꜱ ɪꜱ 211.
ɴᴜᴍʙᴇʀ ᴏꜰ ᴡᴀyꜱ ᴏꜰ ᴡᴀᴛᴄʜɪɴɢ 3 ᴛɪɢᴇʀꜱ ɪꜱ 23, ᴡʜɪᴄʜ ᴡɪʟʟ ɪɴᴄʟᴜᴅᴇ ᴏɴᴇ ᴄᴀꜱᴇ ᴡʜᴇɴ ᴛʜᴇ ᴛᴏᴜʀɪꜱᴛ ᴡᴀᴛᴄʜᴇꜱ ɴᴇɪᴛʜᴇʀ ᴏꜰ ᴛʜᴇᴍ. ꜱɪɴᴄᴇ, ʜᴇ ᴍᴜꜱᴛ ᴡᴀᴛᴄʜ ᴀᴛ ʟᴇᴀꜱᴛ ᴏɴᴇ ᴛɪɢᴇʀ, ᴇxᴄʟᴜᴅɪɴɢ ᴛʜɪꜱ ᴏɴᴇ ᴄᴀꜱᴇ, ᴡᴇ ɢᴇᴛ ᴛʜᴇ ɴᴜᴍʙᴇʀ ᴏꜰ ᴡᴀyꜱ ᴏꜰ ᴡᴀᴛᴄʜɪɴɢ ᴛɪɢᴇʀꜱ ɪꜱ 23−1.
ʜᴇɴᴄᴇ, ᴛʜᴇ ᴛᴏᴛᴀʟ ɴᴜᴍʙᴇʀ ᴏꜰ ᴡᴀyꜱ ᴏꜰ ᴠɪꜱɪᴛɪɴɢ ᴛʜᴇ ᴢᴏᴏ, ꜱᴏ ᴛʜᴀᴛ ᴛʜᴇ ᴛᴏᴜʀɪꜱᴛ ᴡᴀᴛᴄʜᴇꜱ ᴀᴛ ʟᴇᴀꜱᴛ ᴏɴᴇ ᴛɪɢᴇʀ, ᴜꜱɪɴɢ ᴍᴜʟᴛɪᴩʟɪᴄᴀᴛɪᴏɴ ᴩʀɪɴᴄɪᴩʟᴇ, ɪꜱ ᴇqᴜᴀʟ ᴛᴏ
220×212×211×(23−1)
=243×7
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