Question

In how many ways can one pilot and two crew members be selected from a group of 8 pilot and crew members A: 224 B: 274 C: 384 D: 96

Answer 1

SOLUTION

TO CHOOSE THE CORRECT OPTION

The number of ways can one pilot and two crew members be selected from a group of 8 pilot and 8 crew members

A: 224

B: 274

C: 384

D: 96

EVALUATION

Here the total number of pilots = 8 & total number of crew members = 8

Now 1 pilot have to selected from 8 pilots. The number of ways in which this selection can be done

$\sf{ = {}^{8}C_1 }$

$= 8$

Again 2 crew members have to selected from 8 crew members. The number of ways in which this selection can be done

$\sf{ = {}^{8}C_2 }$

$= 28$

Hence the total number of ways

$= 28 \times 8$

$= 224$

FINAL ANSWER

Hence the correct option is A : 224

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